Math, asked by mathsRSP, 6 months ago

Simplify: (a+b) (a-b) (a²+b²) ​

Answers

Answered by Anonymous
126

♣ Qᴜᴇꜱᴛɪᴏɴ :

  • Simplify : (a + b) (a - b) (a² + b²)

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♣ ᴀɴꜱᴡᴇʀ :

(a + b) (a - b) (a² + b²) ​= a⁴ - b⁴

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♣ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ :

(a + b) (a - b) (a² + b²)

We know (a + b) (a - b) = a² - b²

(a + b) (a - b) (a² + b²)

= (a² - b²)(a² + b²)

= a²(a² + b²) - b²(a² + b²)

= a⁴ + a²b² - b²a²+ b⁴

= a⁴ + a²b² - a²b² + b⁴

= a⁴ + b⁴

Answered by prishaich
8

Answer:

a⁴-b⁴

Step-by-step explanation:

(a+b)(a-b)(a²+b²)

= (a+b)(a-b) x (a²+b²)

= (a²-b²) x (a²+b²)

= a²(a²+b²) - b²(a²+b²)

= a⁴ + a²b² - a²b² - b⁴

= a⁴-b⁴

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